Interphase effect on the effective magneto-electro-elastic properties for three-phase fiber-reinforced composites by a semi-analytical approach

• Published in: International journal of engineering science 2020-09, Vol.154, p.103310, Article 103310
• Main Authors: Espinosa-Almeyda, Y., Camacho-Montes, H., Otero, J.A., Rodríguez-Ramos, R., López-Realpozo, J.C., Guinovart-Díaz, R., Sabina, F.J.
• Format: Article
• Language: English
• Subjects: 6 mm symmetry point group; Asymptotic methods; Asymptotic properties; Complex variables; Composite materials; Effective properties; Elastic properties; Fiber composites; Fiber reinforced composites; Finite element analysis; Finite element method; Homogenization; Magnetic properties; Magneto-electro-elastic coupling; Material properties; Modulus of elasticity; Numerical analysis; Potential energy
• ISSN: 0020-7225; 1879-2197
• DOI: 10.1016/j.ijengsci.2020.103310

•Semi-analytical method provides accurate numerical result.•Good coincides is obtained for comparisons with other method's results.•Magneto-electro-elastic effective properties are sensitive to the interphase thickness.•Magneto-electro-elastic moduli can be manipulated through interphase properties. A semi-analytical approach is proposed to determine the effective magneto-electro-elastic moduli of a fiber-reinforced composite. We especially focus on predicting the effective properties of three-phase periodic composite reinforced with unidirectional, infinitely long and concentric cylindrical fibers with square transversal distribution. The semi-analytical method is developed combining asymptotic homogenization and finite element methods. Asymptotic homogenization method allows the statements of local problems that are solved by finite element method and the associated effective coefficients. Finite element method is implemented via the principle of minimum potential energy. The effect of interphase thickness and the fiber material properties on effective moduli is analyzed. Numerical computations were performed, and an exact agreement is obtained by comparing the semi-analytical approach with asymptotic homogenization method linked to the theory of potential functions of a complex variable.